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Finding the Fourth Proportional to 290,225.98, 400,498.38 and 161,172.65

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Solution

The fourth proportional to 290,225.98, 400,498.38 and 161,172.65 is: 222,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,225.98 : 400,498.38 = 161,172.65 : x
  2. Step 2: Convert to fraction form
    290,225.98/400,498.38 = 161,172.65/x
  3. Step 3: Cross multiply
    290,225.98x = 400,498.38 × 161,172.65
  4. Step 4: Simplify right side
    290,225.98x = 64,549,385,225.31
  5. Step 5: Solve for x
    x = 64,549,385,225.31/290,225.98
  6. Step 6: Final answer
    x = 222,410.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.